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Quantum Simulation

Strong Eigenstate Thermalization from Mean-Ergodic Non-chaotic Dynamics

arXiv

Authors: Avadhut V. Purohit, Harshit Sharma, Udaysinh T. Bhosale

Year

2026

Paper ID

68352

Status

Preprint

Abstract Read

~2 min

Abstract Words

115

Citations

N/A

Abstract

We report an example of a many-body system, derived from the double kicked top (DKT), with non-chaotic yet mean-ergodic dynamics that displays strong eigenstate thermalization hypothesis (ETH) in the quantum regime. The analysis addresses a key open question: whether strong ETH is a quantum analog of ergodicity (or mean-ergodicity). Despite non-chaotic dynamics, the fluctuations of the diagonal matrix elements of an observable scale as D^-1/2, where D denotes the Hilbert space dimension. Furthermore, the off-diagonal matrix elements show Gaussian statistics together with a smooth function f_O\(bar{E}, ω\) that becomes nearly uniform in the large-k_θ domain. Our findings show that even mean-ergodic and non-chaotic systems can exhibit strong ETH.

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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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We report an example of a many-body system, derived from the double kicked top (DKT), with non-chaotic yet mean-ergodic dynamics that displays strong eigenstate thermalization...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2605.24510 [2] arXiv https://arxiv.org/abs/2605.24510 [3] Publisher https://arxiv.org/abs/2605.24510

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